Integral models of non-linear non-stationary systems and their applications

The paper is concerned with an increase in the accuracy of the dynamic input-output systems modeling with Volterra polynomials owing to a fuller consideration of data on system outputs to the test inputs. The methodology applied to construct the non-stationary Volterra polynomials is based on a priori consideration of necessary conditions for solvability of special multi-dimensional integral Volterra equations of the first kind. Results of the calculations for reference mathematical systems are presented to illustrate the applicability domains of the integral models on the basis of the quadratic Volterra polynomials. The software “Dinamika” intended for the identification and modeling of reference heat and power facilities is demonstrated.